{"id":8313,"date":"2023-03-21T15:00:00","date_gmt":"2023-03-21T09:30:00","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=8313"},"modified":"2023-03-21T17:05:40","modified_gmt":"2023-03-21T11:35:40","slug":"mcq-questions-for-class-10-maths-chapter-4","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-4\/","title":{"rendered":"MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations with Answers"},"content":{"rendered":"

Students can access the NCERT MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 10 Maths with Answers<\/a> during preparation and score maximum marks in the exam. Students can download the Quadratic Equations Class 10 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 10 Maths Chapter 4 Quadratic Equations Objective Questions.<\/p>\n

Quadratic Equations Class 10 MCQs Questions with Answers<\/h2>\n

Students are advised to solve the Quadratic Equations Multiple Choice Questions of Class 10 Maths to know different concepts. Practicing the MCQ Questions on Quadratic Equations Class 10 with answers will boost your confidence thereby helping you score well in the exam.<\/p>\n

Explore numerous MCQ Questions of Quadratic Equations Class 10 with answers provided with detailed solutions by looking below.<\/p>\n

Question 1.
\nOne year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son\u2019s age. Their present ages are
\n(a) 7 years, 49 years
\n(b) 5 years, 25 years
\n(c) 1 years, 50 years
\n(d) 6 years, 49 years<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 7 years, 49 years<\/p>\n<\/details>\n

\n

Question 2.
\nIf -5 is a root of the quadratic equation 2x2<\/sup> + px \u2013 15 = 0, then
\n(a) p = 3
\n(b) p = 5
\n(c) p = 7
\n(d) p = 1<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) p = 7<\/p>\n<\/details>\n

\n

Question 3.
\nThe two consecutive odd positive integers, sum of whose squares is 290 are
\n(a) 13, 15
\n(b) 11, 13
\n(c) 7, 9
\n(d) 5, 7<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 11, 13<\/p>\n<\/details>\n

\n

Question 4.
\nThe value of b2<\/sup> – 4ac for equation 3x2<\/sup> – 7x – 2 = 0 is
\n(a) 49
\n(b) 0
\n(c) 25
\n(d) 73<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 73<\/p>\n<\/details>\n

\n

Equations with square roots Calculator<\/a> online with solution and steps.<\/p>\n

Question 5.
\nValue(s) of k for which the quadratic equation 2x2<\/sup> -kx + k = 0 has equal roots is
\n(a) 0
\n(b) 4
\n(c) 8
\n(d) 0 and 8<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 0 and 8<\/p>\n<\/details>\n

\n

Question 6.
\nFind the two consecutive odd positive integers, sum of whose square is 290
\n(a) 15, 17
\n(b) 9, 11
\n(c) 13, 15
\n(d) 11, 13<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 11, 13<\/p>\n<\/details>\n

\n

Question 7.
\nWhich of the following are the roots of the quadratic equation, x2<\/sup> – 9x + 20 = 0 by factorisation?
\n(a) 3,4
\n(b) 4, 5
\n(c) 5, 6
\n(d) 6, 7<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 4, 5<\/p>\n<\/details>\n

\n

Question 8.
\nReduction of a rupee in the price of onion makes the possibility of buying one more kg of onion for Rs.56. Find the original price of the onion per kg?
\n(a) 7
\n(b) 1
\n(c) 7, -8
\n(d) 8<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 8<\/p>\n<\/details>\n

\n

Question 9.
\nThe equation (x \u2013 2)2<\/sup> + 1 = 2x \u2013 3 is a
\n(a) linear equation
\n(b) quadratic equation
\n(c) cubic equation
\n(d) bi-quadratic equation<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) quadratic equation<\/p>\n<\/details>\n

\n

Question 10.
\nTwo candidates attempt to solve a quadratic equation of the form x2<\/sup> + px + q = 0. One starts with a wrong value of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots to be 2 and \u2013 9. Find the correct roots of the equation :
\n(a) 3, 4
\n(b) – 3, – 4
\n(c) 3, \u2013 4
\n(d) \u2013 3, 4<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) – 3, – 4<\/p>\n<\/details>\n

\n

Question 11.
\nThe quadratic equation has degree
\n(a) 0
\n(b) 1
\n(c) 2
\n(d) 3<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 2<\/p>\n<\/details>\n

\n

Question 12.
\nThe polynomial equation x (x + 1) + 8 = (x + 2) (x \u2013 2) is
\n(a) linear equation
\n(b) quadratic equation
\n(c) cubic equation
\n(d) bi-quadratic equation<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) linear equation<\/p>\n<\/details>\n

\n

Polynomial Root Calculator<\/a> makes your calculations easier. Use this tool to solve Roots of polynomials & avail the output within no time with detailed<\/p>\n

Question 13.
\nIf (x \u2013 a) is one of the factors of the polynomial ax2<\/sup> + bx + c, then one of the roots of ax2<\/sup> + bx + c = 0 is
\n(a) 1
\n(b) c
\n(c) a
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) a<\/p>\n<\/details>\n

\n

Question 14.
\nThe equation x2<\/sup> \u2013 px + q = 0 p, q e R has no real roots if :
\n(a) p2<\/sup> > 4q
\n(b) p2<\/sup> < 4q
\n(c) p2<\/sup> = 4q
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) p2<\/sup> < 4q<\/p>\n<\/details>\n

\n

Question 15.
\nThe roots of the equation (b \u2013 c) x2<\/sup> + (c \u2013 a) x + (a \u2013 b) = 0 are equal, then
\n(a) 2a = b + c
\n(b) 2c = a + b
\n(c) b = a + c
\n(d) 2b = a + c<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 2b = a + c<\/p>\n<\/details>\n

\n

Question 16.
\nIf the roots of px2<\/sup> + qx + 2 = 0 are reciprocal of each other, then
\n(a) P = 0
\n(b) p = -2
\n(c) p = \u00b12
\n(d) p = 2<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) p = 2<\/p>\n<\/details>\n

\n

Question 17.
\nIf a, p are the roots of the equation (x \u2013 a) (x \u2013 b) + c = 0, then the roots of the equation (x \u2013 a) (x \u2013 P) = c are
\n(a) a, b
\n(b) a, c
\n(c) b, c
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) a, b<\/p>\n<\/details>\n

\n

Question 18.
\nThe sum of the roots of the quadratic equation 3x2<\/sup> \u2013 9x + 5 = 0 is
\n(a) 3
\n(b) 6
\n(c) -3
\n(d) 2<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) -3<\/p>\n<\/details>\n

\n

Question 19.
\nThe cubic equation has degree
\n(a) 1
\n(b) 2
\n(c) 3
\n(d) 4<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 3<\/p>\n<\/details>\n

\n

Question 20.
\nThe equation 2x2<\/sup> + kx + 3 = 0 has two equal roots, then the value of k is
\n(a) \u00b1\u221a6
\n(b) \u00b1 4
\n(c) \u00b13\u221a2
\n(d) \u00b12\u221a6<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) \u00b12v6<\/p>\n<\/details>\n

\n

Question 21.
\nThe quadratic equation whose one rational root is 3 + v2 is
\n(a) x2<\/sup> \u2013 7x + 5 = 0
\n(b) x2<\/sup> + 7x + 6 = 0
\n(c) x2<\/sup> \u2013 7x + 6 = 0
\n(d) x2<\/sup> \u2013 6x + 7 = 0<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) x2<\/sup> \u2013 6x + 7 = 0<\/p>\n<\/details>\n

\n

Question 22.
\nA bi-quadratic equation has degree
\n(a) 1
\n(b) 2
\n(c) 3
\n(d) 4<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 4<\/p>\n<\/details>\n

\n

Question 23.
\nIf 7th and 13th term of an A.P. are 34 and 64 respectively, then its 18th term is
\n(a) 87
\n(b) 88
\n(c) 89
\n(d) 90<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 89<\/p>\n<\/details>\n

\n

Question 24.
\nThe quadratic equation 2x2<\/sup> \u2013 3x + 5 = 0 has?
\n(a) Real and distinct roots
\n(b) Real and equal roots
\n(c) Imaginary roots
\n(d) All of the above<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) Imaginary roots<\/p>\n<\/details>\n

\n

We believe the knowledge shared regarding NCERT MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations with Answers Pdf free download has been useful to the possible extent. If you have any other queries regarding CBSE Class 10 Maths Quadratic Equations MCQs Multiple Choice Questions with Answers, feel free to reach us via the comment section and we will guide you with the possible solution.<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can access the NCERT MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 10 Maths with Answers during preparation and score maximum marks in the exam. Students can …<\/p>\n

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